I tried using hand cream recipies on the tub machine I was sold years ago as a faceting machine and had trouble getting a pre polish. Ended up tipping the 3k grit into the 3k spray I had, it worked better. But gave up on that machine as I could not get a straight girdle.
Last year my wife gave me a real feacting machine as a birthday present. Since then I have found the thinner the carrier for the diamond, the better. Except pure snake oil is a little too thin so I use diamond extender as a carrier and snake oil to clean the swarf off the lap as cutting progresses.